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1093093344 = 253271314139
BaseRepresentation
bin100000100100111…
…0100011111100000
32211011211220011200
41001021310133200
54214312441334
6300244441200
736042066030
oct10111643740
92734756150
101093093344
11511028232
122660a9200
131456030c5
14a52618c0
1565e6e799
hex412747e0

1093093344 has 144 divisors (see below), whose sum is σ = 3580536960. Its totient is φ = 309853440.

The previous prime is 1093093321. The next prime is 1093093361. The reversal of 1093093344 is 4433903901.

1093093344 is a `hidden beast` number, since 1 + 0 + 9 + 309 + 3 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1093093299 and 1093093308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262027 + ... + 266165.

It is an arithmetic number, because the mean of its divisors is an integer number (24864840).

Almost surely, 21093093344 is an apocalyptic number.

1093093344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1093093344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790268480).

1093093344 is an abundant number, since it is smaller than the sum of its proper divisors (2487443616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1093093344 is a wasteful number, since it uses less digits than its factorization.

1093093344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 1093093344 is about 33061.9621922233. The cubic root of 1093093344 is about 1030.1150919244.

The spelling of 1093093344 in words is "one billion, ninety-three million, ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 131 144 168 224 252 262 288 336 393 504 524 672 786 917 1008 1048 1179 1572 1834 2016 2096 2358 2751 3144 3668 4139 4192 4716 5502 6288 7336 8253 8278 9432 11004 12417 12576 14672 16506 16556 18864 22008 24834 28973 29344 33012 33112 37251 37728 44016 49668 57946 66024 66224 74502 86919 88032 99336 115892 132048 132448 149004 173838 198672 231784 260757 264096 298008 347676 397344 463568 521514 542209 596016 695352 927136 1043028 1084418 1192032 1390704 1626627 2086056 2168836 2781408 3253254 3795463 4172112 4337672 4879881 6506508 7590926 8344224 8675344 9759762 11386389 13013016 15181852 17350688 19519524 22772778 26026032 30363704 34159167 39039048 45545556 52052064 60727408 68318334 78078096 91091112 121454816 136636668 156156192 182182224 273273336 364364448 546546672 1093093344